Lamine kompozit ve sandviç plakaların şekil ve gerilme algılaması için yeni bir dört-düğüm noktalı ters-plaka elemanı

Kompozit malzemeler, çeşitli mühendislik yapılarının birincil yük taşıyıcı bileşenlerinin imalat sürecinde yaygın olarak kullanılmaktadır. Ancak, kompozitlerin yapısal bütünlüğünün, yapının hizmet ömrü boyunca meydana gelen hasarlardan dolayı azalması muhtemeldir. Duruma dayalı bakım programlaması için kompozit yapılara gerçek zamanlı şekil ve gerilme algılaması gerçekleştirebilen bir yapısal sağlık izleme sistemi entegre edilebilir. Bu çalışmada, Rafine Zikzak Teorisinin (RZT) temel olarak kullanıldığı ters sonlu elemanlar yöntemine (iFEM) dayanan yeni bir dört düğümlü ters plaka elemanı önerilmiştir. Buradaki iFEM-RZT formülasyonu, membran, eğilme, enine kayma ve zikzak kesit gerinimlerini içeren RZT'nin bütün gerinim ölçüleri kümesini kullanan ağırlıklı en küçük kareler fonksiyonunu en aza indirgemektedir. Mevcut elemanın temel faydası, herhangi bir yükleme bilgisi gerektirmemesi ve şekil algılaması için yalnızca yerleşik sensörlerden alınan gerinim ölçer ölçümlerini kullanmasıdır. Diğer bir avantajı, aynı zamanda genel bir lamine kompozit ve sandviç yapı sınıfının tam alan ve üç boyutlu yer değiştirmelerini ve gerilmelerini tahmin etmek içinde uygulanabilir olmasıdır. Mevcut elemanın potansiyel yeteneklerini göstermek için, farklı laminasyon tiplerine sahip olan bir lamine kompozit plaka üzerinde çeşitli vaka çalışmaları yapılmıştır. İFEM-RZT sonuçları ve son derece hassas sonlu elemanlar çözümleri arasındaki karşılaştırmaya göre, mevcut yaklaşımın üstün doğruluğu ortaya konmuştur.

Anahtar Kelimeler:

Yapısal Sağlık İzleme, Ters Sonlu Elemanlar Yöntemi (iFEM), Rafine Zikzak Teorisi (RZT), Kompozit ve Sandviç Yapılar, Şekil ve Gerilme Algılaması

A novel four-node inverse-plate element for shape and stress sensing of laminated composite and sandwich plates

Composite materials are widely utilized in manufacturing process of primary load bearing components of various engineering structures. However, the structural integrity of composites are likely to diminish due to damage accumulation over the service life of the structure. A structural health monitoring (SHM) system that can perform real-time shape and stress sensing can be integrated to composite structures for condition-based maintenance scheduling. In this study, a new four-node inverse-plate element, is proposed based on the inverse finite element method (iFEM) in which the Refined Zigzag Theory (RZT) is used as a basis. Herein the iFEM-RZT formulation minimizes a weighted least-squares functional that uses the complete set of strain measures of RZT, that include the membrane, bending, transverse shear and zigzag section strains. The main benefit of the present element is that it does not require any loading information and uses only strain gauge measurements taken from the on-board sensors to perform shape sensing. Another advantage is that it is also applicable to predict full field and three-dimensional displacements and stresses of a general class of laminated composite and sandwich structures. To demonstrate the potential capabilities of the present element, various case studies were performed on a laminated composite plate having different types of laminations. According to the comparison between iFEM-RZT results and highly accurate finite element solutions, the superior accuracy of the present approach was revealed.

Keywords:

Structural Health Monitoring, Inverse Finite Element Method (iFEM), Refined Zigzag Theory (RZT), Composite and Sandwich Structures, Shape and Stress Sensing,

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